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A185996
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Coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1, P(1,x)=x-1.
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2
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1, -1, 1, 1, -3, 1, -1, 10, -7, 1, 1, -46, 47, -13, 1, -1, 299, -373, 144, -21, 1, 1, -2577, 3606, -1696, 345, -31, 1, -1, 27636, -41746, 22374, -5605, 706, -43, 1, 1, -353404, 565202, -332934, 96359, -15086, 1295, -57, 1, -1, 5239925, -8770446, 5556536, -1790603, 327145, -35161, 2192, -73, 1, 1, -88310783, 153499519, -103128216, 36149287, -7422751, 938028, -73648, 3489, -91, 1
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OFFSET
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0,5
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LINKS
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E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005) pp. 101-122.
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EXAMPLE
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Triangle begins
1,
-1, 1,
1, -3, 1,
-1, 10, -7, 1,
1, -46, 47, -13, 1,
-1, 299, -373, 144, -21, 1,
1, -2577, 3606, -1696, 345, -31, 1,
-1, 27636, -41746, 22374, -5605, 706, -43, 1,
1, -353404, 565202, -332934, 96359, -15086, 1295, -57, 1,
-1, 5239925, -8770446, 5556536, -1790603, 327145, -35161, 2192, -73, 1
Production matrix of inverse begins
1, 1,
1, 2, 1,
0, 3, 4, 1,
0, 0, 5, 6, 1,
0, 0, 0, 7, 8, 1,
0, 0, 0, 0, 9, 10, 1,
0, 0, 0, 0, 0, 11, 12, 1,
0, 0, 0, 0, 0, 0, 13, 14, 1,
0, 0, 0, 0, 0, 0, 0, 15, 16, 1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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